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Finding the Fourth Proportional to 76,221, 105,185.52 and 42,687

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Solution

The fourth proportional to 76,221, 105,185.52 and 42,687 is: 58,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221 : 105,185.52 = 42,687 : x
  2. Step 2: Convert to fraction form
    76,221/105,185.52 = 42,687/x
  3. Step 3: Cross multiply
    76,221x = 105,185.52 × 42,687
  4. Step 4: Simplify right side
    76,221x = 4,490,054,292.24
  5. Step 5: Solve for x
    x = 4,490,054,292.24/76,221
  6. Step 6: Final answer
    x = 58,908.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.